Problem: On the way to school, Karen became fixated on the puzzle game on her phone!

<image>

The game is played as follows. In each level, you have a grid with n rows and m columns. Each cell originally contains the number 0.

One move consists of choosing one row or column, and adding 1 to all of the cells in that row or column.

To win the level, after all the moves, the number in the cell at the i-th row and j-th column should be equal to gi, j.

Karen is stuck on one level, and wants to know a way to beat this level using the minimum number of moves. Please, help her with this task!

Input

The first line of input contains two integers, n and m (1 ≤ n, m ≤ 100), the number of rows and the number of columns in the grid, respectively.

The next n lines each contain m integers. In particular, the j-th integer in the i-th of these rows contains gi, j (0 ≤ gi, j ≤ 500).

Output

If there is an error and it is actually not possible to beat the level, output a single integer -1.

Otherwise, on the first line, output a single integer k, the minimum number of moves necessary to beat the level.

The next k lines should each contain one of the following, describing the moves in the order they must be done:

  * row x, (1 ≤ x ≤ n) describing a move of the form "choose the x-th row". 
  * col x, (1 ≤ x ≤ m) describing a move of the form "choose the x-th column". 



If there are multiple optimal solutions, output any one of them.

Examples

Input

3 5
2 2 2 3 2
0 0 0 1 0
1 1 1 2 1


Output

4
row 1
row 1
col 4
row 3


Input

3 3
0 0 0
0 1 0
0 0 0


Output

-1


Input

3 3
1 1 1
1 1 1
1 1 1


Output

3
row 1
row 2
row 3

Note

In the first test case, Karen has a grid with 3 rows and 5 columns. She can perform the following 4 moves to beat the level:

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In the second test case, Karen has a grid with 3 rows and 3 columns. It is clear that it is impossible to beat the level; performing any move will create three 1s on the grid, but it is required to only have one 1 in the center.

In the third test case, Karen has a grid with 3 rows and 3 columns. She can perform the following 3 moves to beat the level:

<image>

Note that this is not the only solution; another solution, among others, is col 1, col 2, col 3.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 1024;
const int INF = 1e9;
int A[MAXN][MAXN], n, m, mni, mnj, mnval = INF, ans = INF;
int R[MAXN], C[MAXN], ansR[MAXN], ansC[MAXN];
int main() {
  scanf("%d %d", &n, &m);
  for (int i = 0; i < (int)(n); i++) {
    for (int j = 0; j < (int)(m); j++) {
      scanf("%d", &A[i][j]);
      if (A[i][j] < mnval) {
        mnval = A[i][j];
        mni = i;
        mnj = j;
      }
    }
  }
  for (int z = 0; z < (int)(mnval + 1); z++) {
    memset(R, 0, sizeof R);
    memset(C, 0, sizeof C);
    R[mni] = z;
    C[mnj] = mnval - z;
    for (int i = 0; i < (int)(n); i++) {
      R[i] = A[i][mnj] - C[mnj];
    }
    for (int i = 0; i < (int)(m); i++) {
      C[i] = A[mni][i] - R[mni];
    }
    int val = 0;
    for (int i = 0; i < (int)(n); i++) val += R[i];
    for (int i = 0; i < (int)(m); i++) val += C[i];
    bool ok = true;
    for (int i = 0; i < (int)(n); i++) {
      for (int j = 0; j < (int)(m); j++) {
        if (A[i][j] != R[i] + C[j]) {
          ok = false;
          break;
        }
      }
      if (!ok) break;
    }
    if (ok) {
      if (val < ans) {
        ans = val;
        for (int i = 0; i < (int)(n); i++) {
          ansR[i] = R[i];
        }
        for (int i = 0; i < (int)(m); i++) {
          ansC[i] = C[i];
        }
      }
    }
  }
  if (ans != INF) {
    printf("%d\n", ans);
    for (int i = 0; i < (int)(n); i++) {
      for (int j = 0; j < (int)(ansR[i]); j++) {
        printf("row %d\n", i + 1);
      }
    }
    for (int i = 0; i < (int)(m); i++) {
      for (int j = 0; j < (int)(ansC[i]); j++) {
        printf("col %d\n", i + 1);
      }
    }
  } else {
    printf("-1\n");
  }
  return 0;
}